What is the wavelength of this light?

A beam of radiation has an energy of 2.81×10^2 kJ/mol.

1 Answer

426 nm

Explanation:

The energy of a single radiation is
E= (2.81 x 10^5 J/(mol))/(6.02 x 10^23 (radiation)/(mol ))=4,67 xx 10^(-19) J
from Plank's equation
E= hnu , we have the frequency (nu) of the single radiation
nu= E/h =(4,67 xx 10^(-19) J)/(6,63 xx 10^(-34) J xx s)=7,04 xx 10^14 s^(-1)
from the relation
c= lambda xx nu
we have
lambda =c/nu= (3 xx 10^8 m/s)/(7,04 xx 10^14 s^(-1))=4,26 xx 10^(-7) m= 426 nm